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Finding the Fourth Proportional to 10,088.46, 15,136.98 and 5,407.20

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Solution

The fourth proportional to 10,088.46, 15,136.98 and 5,407.20 is: 8,113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,088.46 : 15,136.98 = 5,407.20 : x
  2. Step 2: Convert to fraction form
    10,088.46/15,136.98 = 5,407.20/x
  3. Step 3: Cross multiply
    10,088.46x = 15,136.98 × 5,407.20
  4. Step 4: Simplify right side
    10,088.46x = 81,848,678.26
  5. Step 5: Solve for x
    x = 81,848,678.26/10,088.46
  6. Step 6: Final answer
    x = 8,113.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.